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GUJCET · Maths · Vector Algebra

\(\vec{c}\) is a unit vector in the direction of sum of vectors \(\vec{a}\) and \(\vec{b}\) Where, \(\vec{a}=2 \hat{i}+2 \hat{j}-5 \hat{k}\) and \(\vec{b}=2 \hat{i}+\hat{j}+3 \hat{k}\) then \(|\vec{c}|=\) _________ .

  1. A \(\frac{4}{\sqrt{29}} \hat{i}+\frac{3}{\sqrt{29}} \hat{j}-\frac{2}{\sqrt{29}} \hat{k}\)
  2. B \(0\)
  3. C 1
  4. D -1
Verified Solution

Answer & Solution

Correct Answer

(C) 1

Step-by-step Solution

Detailed explanation

\(|\vec{c}|=1\)